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Ok, I have done
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We have :-
On multiplying equation (1) by x, we get :
Similarly, on dividing equation (1) by x, we get :
Now, subtract equation (2) and equation (3) :
Then,
Thus, from equations (4) and (5) :-
=> x³ - 1/x³ = 52(±7) = ± 364
Since, this method is quite a bit lengthy, you can also use the identity :-
a³ - b³ = (a - b)(a² + ab + b²)
Hope, it'll help you.....
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